Candle stand modeling question
Edit: Probably much easier since 2.8 with the new Mirror &quot;Bisect&quot; option
Former answer:

Create a cylinder (12 vertices), put its origin to its bottom.
Duplicate it with a shiftDenter.
Rotate the copy 120° on the Y axis (or whatever angle).
Duplicate the second cylinder and rotate it 120° on the Z axis.
Again create a fourth cylinder and rotate it 120°.
Now use some Boolean modifiers to merge these 4 cylinder.
Remove doubles to make the final object clean. You should not have any vertices inside your mesh but if it happened just delete them.